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Finding the Third Proportional to 37,966 and 56,641

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Solution

The third proportional to 37,966 and 56,641 is: 84,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,966 : 56,641 = 56,641 : x
  2. Step 2: Convert to fraction form
    37,966/56,641 = 56,641/x
  3. Step 3: Cross multiply
    37,966x = 56,641 × 56,641
  4. Step 4: Simplify right side
    37,966x = 3,208,202,881
  5. Step 5: Solve for x
    x = 3,208,202,881/37,966
  6. Step 6: Final answer
    x = 84,502.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.